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Finding the Fourth Proportional to 82.45, 122.75 and 78.54

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Solution

The fourth proportional to 82.45, 122.75 and 78.54 is: 116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.45 : 122.75 = 78.54 : x
  2. Step 2: Convert to fraction form
    82.45/122.75 = 78.54/x
  3. Step 3: Cross multiply
    82.45x = 122.75 × 78.54
  4. Step 4: Simplify right side
    82.45x = 9,640.23
  5. Step 5: Solve for x
    x = 9,640.23/82.45
  6. Step 6: Final answer
    x = 116.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.